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Finding the Fourth Proportional to 490,422, 731,341.32 and 485,937.76

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Solution

The fourth proportional to 490,422, 731,341.32 and 485,937.76 is: 724,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,422 : 731,341.32 = 485,937.76 : x
  2. Step 2: Convert to fraction form
    490,422/731,341.32 = 485,937.76/x
  3. Step 3: Cross multiply
    490,422x = 731,341.32 × 485,937.76
  4. Step 4: Simplify right side
    490,422x = 355,386,362,836.24
  5. Step 5: Solve for x
    x = 355,386,362,836.24/490,422
  6. Step 6: Final answer
    x = 724,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.